Factorise
48x^3-27x

Given:

p and q are the two distinct solutions to the equation

[tex](x-3)(x+3)=21x-63[/tex]

To find:

The value of p-q if p>q.

Solution:

We have,

[tex](x-3)(x+3)=21x-63[/tex]

[tex](x-3)(x+3)=21(x-3)[/tex]

[tex](x-3)(x+3)-21(x-3)=0[/tex]

[tex](x-3)(x+3-21)=0[/tex]

[tex](x-3)(x-18)=0[/tex]

Using zero product property, we get

[tex]x-3=0\text{ and }x-18=0[/tex]

[tex]x=3\text{ and }x=18[/tex]

Here, 18>3, so p=18 and q=3.

Now,

[tex]p-q=18-3[/tex]

[tex]p-q=12[/tex]

Therefore, the value of p-q is 12.

Answer:

The answer is 5, the "Expert Verified" is wrong :)

Step-by-step explanation:

First we try factoring the left side to simplify it. Now we can multiply both sides by (x+5)and solve.

Answer:

Doesn't this mean that 592 students live outside the city of mansfield?

Step-by-step explanation:

800 - 208

Answer:

Explained below.

Step-by-step explanation:

1. Bisecting splits an angle into two equal parts. Angle 2 and 3 are now equal.

2. And since it is a right angle, both angles are 45 degrees.

3. All triangle angles will ALWAYS add up to 180.

4. Angle 4 = 180 - 45 (Angle 3) -83.

Angle 4 = 52.

5. Do same thing for Angle 1.

6. Angle 1 = 180 - 45 (Angle 2) - 48

Angle 1 = 87.

Final answers.

1. 87 degrees

2. 45 degrees.

3. 45 degrees.

4. 52 degrees.

Answer:96km in 1 hour requires a speed of 96km/h; 96km in 2 hours requires a speed of 96/2=48km/h.

You can travel at any speed between 48km/h and 96km/h to arrive in between 1 and 2 hours.

There is no sufficient info to solve the problem and answer the question.

Also,  this fragment   "Two bikers started at the same,"   is a nonsense,  not allowable in  Math.

Find the antiderivative of the velocity function.

1 rotation = 2pi radians = 2*3.14 radians = 6.28 radians

1 rotation per 8 seconds is the angular velocity  2pi%2F8 radians per second = 6.28%2F8 = 0.785 radians per second

hope this is helpful

Answer:

2(3a-z)

cannot be further simplified

Step-by-step explanation:

Answer:

z

=

9

2

Step-by-step explanation:

anyway

good luck

Given:

Equation of line is [tex]y-25=2(x-10)[/tex].

A line is perpendicular to the given line and passes through (-3,7).

To find:

The point slope form of the perpendicular line.

Solution:

Point slope form of a line is

[tex]y-y_1=m(x-x_1)[/tex]          ...(i)

where, [tex](x_1,y_1)[/tex] is the point from which the line is passing through and m is slope.

We have,

[tex]y-25=2(x-10)[/tex]       ...(ii)

From (i) and (ii), we get

[tex]m_1=2[/tex]

Product of slopes of two perpendicular lines is -1.

[tex]m_1\times m_2=-1[/tex]

[tex]2\times m_2=-1[/tex]

[tex]m_2=-\dfrac{1}{2}[/tex]

So, slope of perpendicular line is [tex]-\dfrac{1}{2}[/tex].

Point slope form of the perpendicular line is

[tex]y-(7)=-\dfrac{1}{2}(x-(-3))[/tex]

[tex]y-7=-\dfrac{1}{2}(x+3)[/tex]

Therefore, the correct option is C.

Answer:

6.oz I will ply to get a

Step-by-step explanation:

ok is the only

Answer:

Step-by-step explanation:

9(67)=9(70-3)=

Answer:

Mean=5

Median=6

Mode=2

Step-by-step explanation:

Answer:

Step-by-step explanation:

mode: 2

median: 6

mean: 8 + 2 + 7 + 2 + 6 = 17 + 8 = 25/5 = 5

Answer:

28.2

Step-by-step explanation:

Answer:

20% is 4.70

New total with tip = 28.20

Step-by-step explanation:

23.50 x .20

4.70

Answer:

-7=k

Step-by-step explanation:

5k-3k-2=-16

2k-2=-16

2k=-14

k=-7

Answer:

-2

Step-by-step explanation:

ur welcome

-1

Step-By step Explanation:

Answer:$27,57

1)find out how much wallets cost in the first month:

24,50 -100%

х      - 125%

х= 24,50*125/100 ≈ 30,63

2)we will find out how much the wallets cost after the price is reduced by 10%:

30,63 - 100%

х         -90%

х=30,63*90/100 ≈ 27,57

Step-by-step explanation:

Answer:

(a). y = - 4x + 19 ; (b). y = [tex]\frac{1}{4}[/tex] x + 2  

Step-by-step explanation:

Slope "m" of given line is

m = - 4

Slope of parallel line is ( - 4) and perpendicular line is [tex]\frac{1}{4}[/tex]

P(4, 3)

y - [tex]y_{P}[/tex] = m( x - [tex]x_{P}[/tex] )

(a). y - 3 = - 4 (x - 4)

y = - 4x + 19

(b). y - 3 = [tex]\frac{1}{4}[/tex] ( x - 4 )

y = [tex]\frac{1}{4}[/tex] x + 2

Step-by-step explanation:

18,200

-12,350

5,850 (A) 5,850

Answer:

-2x+-8-3x-8

Step-by-step explanation:

-2 times x =-2x  

-2 times 4=-8

Answer:

x

Step-by-step explanation:

-2 (x + 4) – (3x – 8)

-2x-8-3x+8

x+0

x

Answer:

7°

Step-by-step explanation:

you get the minimum +the maximum ÷ 2

so : (0+14)÷2 =7°

Answer:

Draw a dot at (0, 1)

Draw dot at (-1, -1)

Draw dot at (1, 3)

Connect the dots with a straight line

Step-by-step explanation:

The given equation is in slope-intercept form (y = mx + b). In this form, m is the slope and b is the y-intercept (where the line crosses through the y-axis).

The slope is 2, also written as [tex]\frac{2}{1}[/tex]. This means that the line goes up 2 units for each 1 unit to the right.

Step-by-step explanation:

what is this answer

(3x + 40) + (5x - 52) = 180°

8x - 12 = 180°

8x = 180 + 12

8x = 192

8x = 24

x = 3

Answer:

F = 9 over 5C + 32

Step-by-step explanation:

Let's consider the following equation that shows the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F.

C = 5 over 9(F − 32)

C = 5/9 (F − 32)

To solve for F, first, we will multiply both sides by 9/5.

C × 9/5 = 5/9 (F − 32) × 9/5

9/5 C = F − 32

Now, we add 32 to both sides.

9/5 C + 32 = F − 32 + 32

9/5 C + 32 = F

F = 9 over 5C + 32

Answer:

F = 9 over 5C + 32

Step-by-step explanation:

Answer:

18n+9 i think

Step-by-step explanation:

Answer:

B) x = -5

Step-by-step explanation:

The zero of a graph is the inputted value in which the output is 0. Therefore, we must find the x-value that makes the y-value be 0. In the graph, we see that y = 0 at (-5, 0). The x-value of the coordinate (-5, 0) is -5. Therefore, the zero of the function in the graph is x = -5.

I hope this helps! :)

Answer:

B is the answer.

Step-by-step explanation:

Answer:

The second one

Step-by-step explanation:

-2 and 1/4 is the same as -9/4 bec -9/4 is just in the improper form.

(can i get brainliest now)

Answer:

$312

Step-by-step explanation:

10% of $600 is $60

So $60*4=$240

$600-$240=$360

1%=$6

So $6*8=$48

$360-$48=$312

Answer:

20 + 14 = 34, there there are only 29 students, so 34 - 29 or 5 have both a dog and a cat

15 have only a dog

5 have a dog and a cat

9 have only a cat

Step-by-step explanation:

The probability that a student has a cat given that they do not have a dog  is 3/5

Probability denotes the possibility of the outcome of any random event. The meaning of this term is to check the extent to which any event is likely to happen.

According to the question,

The number of student who do not have a dog is

25 - ( 8 + 2 ) = 15

9 have a cat { do not have a dog is a prerequisite }

So the probability that a student has a cat given that they do not have a dog = 9/15

       = 3/5

To learn more about probability from here

https://brainly.in/question/3144050

#SPJ2

Answer:

[tex]Distance = 39.2[/tex]

Step-by-step explanation:

Given

[tex]Distance = 6ft;\\ Time = 15seconds[/tex]

Required

Determine the distance covered in 98 seconds

To solve this, the following assumption must be made:

So, first we calculate the speed

[tex]Speed = \frac{Distance}{Time}[/tex]

Substitute 6 for Distance and 15 for Time

[tex]Speed = \frac{6}{15}[/tex]

[tex]Speed = 0.40[/tex]

Next, is to calculate the required distance

[tex]Speed = \frac{Distance}{Time}[/tex]

In this case:

[tex]Speed = 0.40[/tex] because it is constant and

[tex]Time = 98[/tex]

The expression becomes:

[tex]0.40 = \frac{Distance}{98}[/tex]

Make Distance the subject:

[tex]Distance = 0.40 * 98[/tex]

[tex]Distance = 39.2[/tex]

The peacock will walk 39.2 feet in 98 seconds

Given:

[tex]f^{-1}(f(x))=f(f^{-1}(x))=?[/tex]

To find:

The missing value.

Solution:

We have,

[tex]f^{-1}(f(x))=f(f^{-1}(x))=?[/tex]       ...(i)

We know that, if [tex]f(x)[/tex] is a function and [tex]f^{-1}(x)[/tex] is its inverse function, then

[tex]f^{-1}(f(x))=f(f^{-1}(x))=x[/tex]          ...(ii)

From (i) and (ii), we get

Missing value = [tex]x[/tex]

Therefore, the missing value is [tex]x[/tex], i.e., [tex]f^{-1}(f(x))=f(f^{-1}(x))=x[/tex].

Answer:

6,-4

Step-by-step explanation:

Answer:

i think the answer is (6,-4) I'm not sure

Step-by-step explanation:

when reflecting the it across the x-axis it is going directly across which means it would be (x,y)-> (6,-4)

Answer:

A= l×l

= 13×13

A= 169

P= 4l

= 4×13

= 52

so the answer is C